Well, you could make the case that the craft beer movement in the US came from European beers: India pale ale is a British invention after all. The "original" American beers (Budweiser & co) haven't made much of a dent on the world.
Comment significantly changed since I replied, so adding:
Actually the original American beers did have a lot of impact. American Adjunct Lagers are brewed in a lot of countries:
https://www.beeradvocate.com/beer/styles/38/
I don't like them, but they've certainly had a major influence on world beer. Most of the world's 10 most popular beer brands are American Adjunct Lager.